Answer:
The equation of the line would be y = -2/3x + 5
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
3x = 2y + 4
-2y = -3x + 4
y = 3/2x - 2
Now that we have a slope of 3/2, we know that the perpendicular slope is -2/3 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 1 = -2/3(x - 6)
y - 1 = -2/3x + 4
y = -2/3x + 5
360/67. Like 5.37. ...............
Use the formula: A= \pi r^2 For the area of the circle.
Use the formula: A= bh For the area of the square.
Answer:
Step-by-step explanation:
Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:
Solve for x
So:
At this point, we have established that the rhombus is made up 4 triangles of the following dimensions
So, the area of the rhombus is 4 times the area of 1 triangle
<span>When you multiply a number by 10, 100, 1,000 and so forth, you move the decimal point to the right as many places as there are zeroes in the multiplier. When you’re multiplying, the order of the factors do not matter because you will still get the same answer. The law of grouping do not apply to multiplication.
The answers for the following numbers are:
a. 24.6 × 100 = 2,460
b. 37 × 1,000 = 3,700
c. 0.367 × 10,000 = 3,670
d. 0.005 × 100,000 = 500
</span><span>a. 973 × 80 = 77,840
b. 56 × 2,000 = 12,000
c. 5.7 × 300 = 1,710
d. 0.46 × 50 = 23</span><span>
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